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World Scientific Lecture Notes in Physics, 2019
Link to: physicspages home page. To leave a comment or report an error, please use the auxiliary blog. Shankar, R. (1994), Principles of Quantum Mechanics, Plenum Press. Section 7.3, Exercise 7.3.4.
Bert Voigtländer
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Link to: physicspages home page. To leave a comment or report an error, please use the auxiliary blog. Shankar, R. (1994), Principles of Quantum Mechanics, Plenum Press. Section 7.3, Exercise 7.3.4.
Bert Voigtländer
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The fractional features of a harmonic oscillator with position-dependent mass
Communications in Theoretical Physics, 2020In this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as an introduction, we give a full description of the system by constructing its classical Lagrangian; thereupon, we derive the related classical equations of ...
D. Baleanu +3 more
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Harmonic oscillator in an environment with a pointlike defect
Physica Scripta, 2019In the primordial Universe theories frame, we have investigated the association of the pointlike global monopole to the point defects in elastic solids which a harmonic oscillator (HO) is immersed.
R. Vitória, H. Belich
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IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2019
This paper considers the distributed control problem for a network of harmonic oscillator systems with delayed velocity coupling and signed graph topology containing a directed spanning tree.
Qiang Song +4 more
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This paper considers the distributed control problem for a network of harmonic oscillator systems with delayed velocity coupling and signed graph topology containing a directed spanning tree.
Qiang Song +4 more
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, 1989 As an application of the Schrodinger equation, we now calculate the states of a particle in an oscillator potential. From classical mechanics we know that such a potential is of greater importance, because many complicated potentials can be approximated in the vicinity of their equilibrium points by a harmonic oscillator.
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, 1993 This chapter is the closest in these notes to what is usually called “Quantum Mechanics”. The present version is considerably shorter than the original French. It thus becomes more obvious that its main topic is not really elementary quantum mechanics, but rather elementary Fock space, and the quantum analogue of finite dimensional Gaussian random ...
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, 1994 In this section I will put the hamwnic oscillator in its place-on a pedestaL Not only is it a system that can be exactly solved (in classical and quantum theory) and a superb pedagogical tool (which will be repeatedly exploited in this text), but it is also a system of great physical relevance.
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Nonlinear harmonic oscillators [PDF]
Journal of Physics A: Mathematical and General, 2002 The existence is noted of assemblies of an arbitrary number of complex oscillators, or equivalently, of an arbitrary even number of real oscillators, characterized by Newtonian equations of motion ('acceleration equal force') with one-body velocity-dependent linear forces and many-body velocity-independent cubic forces, all the nonsingular solutions of
Francesco Calogero +2 more
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1997
Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant: one spring acts in the x 1-direction and the other in the x 2-direction. Mathematically, the configuration space of the harmonic oscillator is Euclidean 2-space.
Richard Cushman, Larry Bates
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Physically, the harmonic oscillator in the plane is described by a particle of unit mass acted upon by two linear springs of unit spring constant: one spring acts in the x 1-direction and the other in the x 2-direction. Mathematically, the configuration space of the harmonic oscillator is Euclidean 2-space.
Richard Cushman, Larry Bates
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